Stokes’ Theorem generalizes Green’s theorem to three dimensions.
The circulation-curl form of Green’s Theorem relates the counter
clockwise circulation of a vector field around a simple closed
curve C in the xy-plane to a double integral over the
plane region R enclosed by C. Stokes’ Theorem relates
the circulation of a vector field around the boundary C of
an oriented surface S in space to a surface integral over
the surface S.